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133230310002 = 2342325329333
BaseRepresentation
bin111110000010100100…
…1010011001001110010
3110201220001022222220000
41330011021103021302
54140323424410002
6141112151530430
712424366643526
oct1740511231162
9421801288800
10133230310002
1151559044919
12219a2689a16
13c7431c647a
14663c503d86
1536eb74c61c
hex1f05253272

133230310002 has 120 divisors (see below), whose sum is σ = 317977802604. Its totient is φ = 41676313536.

The previous prime is 133230309959. The next prime is 133230310069. The reversal of 133230310002 is 200013032331.

It can be written as a sum of positive squares in 2 ways, for example, as 122815903401 + 10414406601 = 350451^2 + 102051^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4527328 + ... + 4556660.

Almost surely, 2133230310002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133230310002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158988901302).

133230310002 is an abundant number, since it is smaller than the sum of its proper divisors (184747492602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133230310002 is a wasteful number, since it uses less digits than its factorization.

133230310002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29446 (or 29414 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 133230310002 its reverse (200013032331), we get a palindrome (333243342333).

The spelling of 133230310002 in words is "one hundred thirty-three billion, two hundred thirty million, three hundred ten thousand, two".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 81 106 138 159 162 207 318 414 477 529 621 954 1058 1219 1242 1431 1587 1863 2438 2862 3174 3657 3726 4293 4761 7314 8586 9522 10971 14283 21942 28037 28566 29333 32913 42849 56074 58666 65826 84111 85698 87999 98739 168222 175998 197478 252333 263997 504666 527994 674659 756999 791991 1349318 1513998 1554649 1583982 2023977 2270997 2375973 3109298 4047954 4541994 4663947 4751946 6071931 9327894 12143862 13991841 15517157 18215793 27983682 31034314 35756927 36431586 41975523 46551471 54647379 71513854 83951046 93102942 107270781 109294758 125926569 139654413 214541562 251853138 279308826 321812343 418963239 643624686 822409321 837926478 965437029 1256889717 1644818642 1930874058 2467227963 2513779434 2896311087 4934455926 5792622174 7401683889 14803367778 22205051667 44410103334 66615155001 133230310002